| Base | Representation |
|---|---|
| bin | 111000011010000001… |
| … | …0010111100100000000 |
| 3 | 102120122220110021121200 |
| 4 | 1300310002113210000 |
| 5 | 3441034310322240 |
| 6 | 131351453421200 |
| 7 | 11515524014511 |
| oct | 1606402274400 |
| 9 | 376586407550 |
| 10 | 121132120320 |
| 11 | 4740aa18952 |
| 12 | 1b586a9a800 |
| 13 | b565903153 |
| 14 | 5c11846a08 |
| 15 | 323e583930 |
| hex | 1c34097900 |
121132120320 has 216 divisors, whose sum is σ = 420673289400. Its totient is φ = 32180994048.
The previous prime is 121132120303. The next prime is 121132120363. The reversal of 121132120320 is 23021231121.
121132120320 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 321 + 20 + 320 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 128323584 + 121003796736 = 11328^2 + 347856^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 121132120293 and 121132120302.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3079336 + ... + 3118424.
It is an arithmetic number, because the mean of its divisors is an integer number (1947561525).
Almost surely, 2121132120320 is an apocalyptic number.
121132120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 121132120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210336644700).
121132120320 is an abundant number, since it is smaller than the sum of its proper divisors (299541169080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121132120320 is a wasteful number, since it uses less digits than its factorization.
121132120320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 39385 (or 39368 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 121132120320 its reverse (23021231121), we get a palindrome (144153351441).
The spelling of 121132120320 in words is "one hundred twenty-one billion, one hundred thirty-two million, one hundred twenty thousand, three hundred twenty".
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